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Finding the Fourth Proportional to 3,769.90, 5,202.44 and 2,091.31

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Solution

The fourth proportional to 3,769.90, 5,202.44 and 2,091.31 is: 2,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.90 : 5,202.44 = 2,091.31 : x
  2. Step 2: Convert to fraction form
    3,769.90/5,202.44 = 2,091.31/x
  3. Step 3: Cross multiply
    3,769.90x = 5,202.44 × 2,091.31
  4. Step 4: Simplify right side
    3,769.90x = 10,879,914.80
  5. Step 5: Solve for x
    x = 10,879,914.80/3,769.90
  6. Step 6: Final answer
    x = 2,886.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.